Answer:
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- Dimensions of the flag:

- Area of the flag:

Step-by-step explanation:
<em><u>The missing figure of the exercise is attached.</u></em>
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We know that the perimeter of the triangle is given by:

Where "s" is the side lenght of the triangle.
Solving for "s", we get:

Therefore, if the perimeter of the triangle is 126 inches, its side length is:

Since
, we know that "s" in feet is:

The area of a rectangle can be calculated with this formula:

Where "l" is the lenght and "w" is the width
We can observe in the figure that the lenght and the width of the flag are:

Then, the dimensions of the flag are:

And the area is:

Answer:
14
Step-by-step explanation:
Let the smaller and larger numbers be represented by S and L, respectively.
S/L = 2/3 . . . . the original ratio of the numbers
3S = 2L . . . . . multiply by 3L
__
(S-6)/(L+7) = 2/7 . . . . the new ratio of the numbers
7(S-6) = 2(L+7) . . . . . multiply by 7(L+7)
7S -42 = 2L +14
Using the expression for 2L from the first ratio, we can substitute to get ...
7S -42 = 3S +14 . . . . substitute 3S for 2L
4S = 56 . . . . . . . . . . .add 42-3S
S = 14 . . . . . . . . . . . . . divide by 4
The original smaller number was 14.
The answer is 44. hope that helps